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Finding the Fourth Proportional to 20,509.44, 30,772.80 and 12,205.44

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Solution

The fourth proportional to 20,509.44, 30,772.80 and 12,205.44 is: 18,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.44 : 30,772.80 = 12,205.44 : x
  2. Step 2: Convert to fraction form
    20,509.44/30,772.80 = 12,205.44/x
  3. Step 3: Cross multiply
    20,509.44x = 30,772.80 × 12,205.44
  4. Step 4: Simplify right side
    20,509.44x = 375,595,564.03
  5. Step 5: Solve for x
    x = 375,595,564.03/20,509.44
  6. Step 6: Final answer
    x = 18,313.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.